The method of constructing \(\star \) -products using Drinfeld twists
[1]} (see e.g. [2]} for a quick introduction)
is not the
most general method (it does not apply to an arbitrary Poisson
manifold [3]}), however it is quite powerful, and the class of
\(\star \) -products obtained is quite wide. For example choosing the
appropriate twist we can obtain
the noncommutative relations (REF ), () and also (depending on the
explicit expression of the
structure constants) some of the Lie
algebra type ().
It is also well adapted to a coordinate
free description of the \(\star \) -algebra of functions on a manifold \(M\) 
and to its differential geometry.
